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essays in public finance and industrial organization a dissertation ...

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CHAPTER 1. BANKRUPTCY 31<br />

CARA utility. 39 I show results with risk aversion parameters of α =2.5 × 10 −5 (low<br />

risk aversion), α =5.0 × 10 −5 (moderate risk aversion), <strong>and</strong> α =7.5 × 10 −4 (high risk<br />

aversion). Divid<strong>in</strong>g by the median wealth level of $40,318, these parameters can be<br />

<strong>in</strong>terpreted as relative risk coefficients of γ = 1, 2, <strong>and</strong> 3. Household-level medical cost<br />

distributions are constructed us<strong>in</strong>g <strong>in</strong>dividual-level medical cost distributions for age-<br />

by-sex-by-<strong>in</strong>surance status cells <strong>in</strong> the 2005 MEPS. The markup for moral hazard<br />

is µ1 = 0.56, the value implied by the RAND health <strong>in</strong>surance experiment price<br />

elasticity of -0.22 <strong>in</strong> an arc elasticity framework (?). The adm<strong>in</strong>istrative load factor<br />

is set to µ2 =0.1 for households with employer sponsored <strong>in</strong>surance <strong>and</strong> µ2 =0.5<br />

for the un<strong>in</strong>sured <strong>and</strong> households <strong>in</strong> the non-group market. 40 I solve for the cross-<br />

subsidization parameter µ3 endogenously us<strong>in</strong>g the cost distributions of un<strong>in</strong>sured<br />

households <strong>in</strong> the model. In Appendix Section 1.10.3, I discuss the construction of<br />

the medical cost distributions <strong>and</strong> premiums <strong>in</strong> more detail. I show that the calibrated<br />

premiums closely match quoted premiums <strong>in</strong> the <strong>in</strong>dividual market.<br />

1.8 Puzzles <strong>and</strong> Policy<br />

In this section of the paper, I use the micro-simulation model to <strong>in</strong>vestigate how<br />

bankruptcy <strong>in</strong>surance sheds light on puzzles <strong>in</strong> the health policy literature <strong>and</strong> to<br />

exam<strong>in</strong>e implications of this mechanism for the design of health <strong>in</strong>surance policy.<br />

1.8.1 Puzzles<br />

Puzzle 1: Why are 47 million <strong>in</strong>dividuals un<strong>in</strong>sured?<br />

Expla<strong>in</strong><strong>in</strong>g why households are un<strong>in</strong>sured is a central puzzle for scholars of health<br />

<strong>in</strong>surance. In his review of the literature ? writes, “there are a variety of hypothe-<br />

ses for why so many <strong>in</strong>dividuals are un<strong>in</strong>sured, but no clear sense that this set of<br />

explanations can account for the 47 million <strong>in</strong>dividuals.” Bankruptcy <strong>in</strong>surance is a<br />

39 Us<strong>in</strong>g a CARA specification avoids the problems associated with non-positive wealth. Calibrations<br />

with CRRA utility <strong>and</strong> a consumption floor generate stronger results.<br />

40 This values are take from ?.

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